Towards a quantum Lefschetz hyperplane theorem in all genera
Honglu Fan, Yuan-Pin Lee
TL;DR
This paper proposes an algorithm to compute Gromov-Witten invariants of smooth hypersurfaces in all genera from those of the ambient space, extending the quantum Lefschetz hyperplane theorem.
Contribution
It introduces a new effective algorithm applicable to all genera, broadening the scope of the quantum Lefschetz hyperplane theorem.
Findings
Algorithm successfully computes Gromov-Witten invariants for hypersurfaces.
Applicable to any genus within a degree bound.
Extends existing methods to all genera.
Abstract
An effective algorithm of determining Gromov--Witten invariants of smooth hypersurfaces in any genus (subject to a degree bound) from Gromov--Witten invariants of the ambient space is proposed. The Appendix is joint with E. Schulte-Geers.
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